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ANALYSIS

Volume 1 · 208 words · 1771 Edition

in a general sense, is the resolution of something compounded, into its constituent parts. Hence,

among logicians, is the resolving of knowledge into original principles, by tracing things backward to their causes.

among mathematicians, the art of discovering the truth or falsehood of a proposition, or its possibility or impossibility. This is done by supposing the proposition, such as it is, true; and examining what follows from thence, until we arrive at some evident truth, or some impossibility, of which the first proposition is a necessary consequence; and from thence establish the truth or impossibility of that proposition.

in chemistry, the reducing of an heterogeneous or mixed body, into its original principles or component parts. See Chemistry.

is also used to signify the anatomical dissection of an animal. See Anatomy.

among grammarians, is the explaining the etymology, construction, and other properties of words.

ANALYSIS of powers, is the operation of resolving them into their roots, otherwise called evolution. See Algebra, and Arithmetic.

is also used for a brief, but methodical illustration of the principles of a science; in which sense it is nearly synonymous with what we otherwise call a synopsis.

likewise denotes a table of the principal heads of a continued discourse, disposed in their natural order.